like anything – they can turn into a multimedia show – why show a student how to solve a problem by hand when the computer can do it for them anyway. – this is just nuts

how you can make problems harder to calculate – change quadratic to a quartic

normal in school:

normal in life – messy – hairy:

the problem we really have in math is not that computers dumb down math but that we’ve dumbed down problems

myth 3:

if you go through tons of examples – you can get how the basics of the system works better.

understanding procedure and process is important – but there’s a fantastic way to do that these days.. it’s called programming…how most procedures and process get written down these days..

programming is the way we should be doing that. – and a great way to engage students and check if they really understand

what we have here – a unique opportunity to make

simultaneously

can’t think of any other subject where that’s recently been possible – usually a choice

we want people to feel the math – that’s what computers allow us to do

calculus has traditionally been taught very late – why is this? because it’s hard doing the calculations

what about – adding sides to a polygon – looking at limits, diff calc – taking things to an extreme – a view of the world we don’t let people see for many many years after this – yet very important practical view of the world.

one of roadblocks in moving this agenda forward – exams

in the end – test by hand

hard to let computers come into exams

but then – we can ask real questions…

this isn’t some optional extra – letting people feel the math..

moving to the knowledge economy to the computational knowledge economy

this is not an incremental change – we’re trying to cross a chasm

suggesting – we should leap off

completely renewed math curriculum

not even sure we brand it math – but it is the mainstream subject of the future